AN OPTIMAL UNIFORM A PRIORI ERROR ESTIMATE FOR AN UNSTEADY SINGULARLY PERTURBED PROBLEM

作者：V****k Miloslav^*; Roos Hans Goerg

来源：International Journal of Numerical Analysis and Modeling, 2014, 11(1): 24-33.

• discontinuous Galerkin
• convection diffusion
• layer adapted mesh
• error estimate

A time dependent convection diffusion problem is discretized by the Galerkin finite element method in space with bilinear elements on a general layer adapted mesh and in time by discontinuous Galerkin method. We present optimal error estimates. The estimates hold true for consistent stabilization too.

• 出版日期2014